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20210200012020 = 22351135209572251
BaseRepresentation
bin1001001100001100011011…
…10010101110010011110100
32122120002001120212111012010
410212012031302232103310
510122110442200341040
6110552234313524220
74154065411445154
oct446061562562364
978502046774163
1020210200012020
116492109034237
122324a57113670
13b37a7687cc85
144dc270c88764
15250aa8a25e80
hex12618dcae4f4

20210200012020 has 96 divisors (see below), whose sum is σ = 57100403283840. Its totient is φ = 5340658176000.

The previous prime is 20210200011997. The next prime is 20210200012081. The reversal of 20210200012020 is 2021000201202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20210200011987 and 20210200012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35030895 + ... + 35603145.

It is an arithmetic number, because the mean of its divisors is an integer number (594795867540).

Almost surely, 220210200012020 is an apocalyptic number.

20210200012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210200012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28550201641920).

20210200012020 is an abundant number, since it is smaller than the sum of its proper divisors (36890203271820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20210200012020 is a wasteful number, since it uses less digits than its factorization.

20210200012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577585 (or 577583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20210200012020 its reverse (2021000201202), we get a palindrome (22231200213222).

The spelling of 20210200012020 in words is "twenty trillion, two hundred ten billion, two hundred million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 5209 6780 10418 15627 20836 26045 31254 52090 62508 78135 104180 156270 312540 572251 588617 1144502 1177234 1716753 1765851 2289004 2354468 2861255 2943085 3433506 3531702 5722510 5886170 6867012 7063404 8583765 8829255 11445020 11772340 17167530 17658510 34335060 35317020 64664363 129328726 193993089 258657452 323321815 387986178 646643630 775972356 969965445 1293287260 1939930890 2980855459 3879861780 5961710918 8942566377 11923421836 14904277295 17885132754 29808554590 35770265508 44712831885 59617109180 89425663770 178851327540 336836666867 673673333734 1010510000601 1347346667468 1684183334335 2021020001202 3368366668670 4042040002404 5052550003005 6736733337340 10105100006010 20210200012020